Solve [30\div{(6OF2)-(3OF2)}]+(12\div2)

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Question

$$[30 \div \{ (6OF2)-(3OF2) \} ]+(12 \div 2)$$

Evaluate

$\frac{2\left(3F_{2}O+5\right)}{F_{2}O}$

Short Solution Steps

Combine $6OF_{2}$ and $-3OF_{2}$ to get $3OF_{2}$.

$$\frac{30}{3OF_{2}}+\frac{12}{2}$$

Divide $12$ by $2$ to get $6$.

$$\frac{30}{3OF_{2}}+6$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $6$ times $\frac{3OF_{2}}{3OF_{2}}$.

$$\frac{30}{3OF_{2}}+\frac{6\times 3OF_{2}}{3OF_{2}}$$

Since $\frac{30}{3OF_{2}}$ and $\frac{6\times 3OF_{2}}{3OF_{2}}$ have the same denominator, add them by adding their numerators.

$$\frac{30+6\times 3OF_{2}}{3OF_{2}}$$

Do the multiplications in $30+6\times 3OF_{2}$.

$$\frac{30+18OF_{2}}{3OF_{2}}$$

Factor the expressions that are not already factored in $\frac{30+18OF_{2}}{3OF_{2}}$.

$$\frac{6\left(3F_{2}O+5\right)}{3F_{2}O}$$

Cancel out $3$ in both numerator and denominator.

$$\frac{2\left(3F_{2}O+5\right)}{F_{2}O}$$

Use the distributive property to multiply $2$ by $3F_{2}O+5$.

$$\frac{6F_{2}O+10}{F_{2}O}$$

Show Solution

Factor

$\frac{2\left(3O+\frac{5}{F_{2}}\right)}{O}$